The Realization of a Transfer Ratio by Means of a Resistor-Capacitor Ladder Network

A method is offered for the exact realization with a ladder network containing only resistors and capacitors of a transfer ratio subject to the following three conditions: 1. Poles of H(p) occur at real, negative values of p and are simple. 2. Zeros of H(p) occur at real, negative values of p, but may be multiple. 3. H(p) is fnite for p = jω, -∞ ≦ ω ≦ ∞. This type of network frequently has gain factors considerably greater than that allowed for an equivalent network synthesized on the lattice basis.